Subject: Integrating csch^2(x) gives an incorrect result
From: Frazer Williams
Date: Fri, 24 Jun 2011 17:22:30 -0500
On Fri, 24 Jun 2011 23:16:01 +0100 (BST)
Dan <vi5u0-maxima at yahoo.co.uk> wrote:
> On Fri, 24 Jun 2011, Frazer Williams wrote:
>
> > The error occurs when integrating (csch(x))^2.
> >
> >
> > (%i3) integrate((1/sinh(x))^2,x);
> > 4
> > (%o3) -------------
> > - 2 x
> > 2 %e - 2
> >
> > According to a book of tables, the integral should be
> >
> > -coth x
>
> The two only differ by an additive constant. Maxima doesn't make the
> constant of integration in an indefinite integral explicit.
You're right.
Thanks to you and to Andrey Grozin for the quick replies.
Sorry for the noise. I'll quietly withdraw back into the woodwork now.
--
Frazer